$N$-dimensional Fourier transform.

Base classes

• public vtb::core::Fourier_transform_base< T, N >

Types

• using array_type = blitz::Array< T, N >
• using shape_type = blitz::TinyVector< int, N >

Methods

• transform(array_type & x, int dir) -> void
• backward(array_type & x) -> void
• forward(array_type & x) -> void
• Fourier_transform(const shape_type & shp)explicit
• Fourier_transform()

Base class for all Fourier transforms. The class stores wave table and work area for bit reversal.

Derived classes

• vtb::core::Fourier_transform< T, N >

Types

• using wavetable_type = Wave_table< T >
• using array_type = blitz::Array< T, N >
• using shape_type = blitz::TinyVector< int, N >

Fields

• wavetable_type _waves[N]

Methods

• check(const array_type & x) -> voidprotected
• clear() -> void
• shape(const shape_type & rhs) -> void

  Update wave table for specified shape.

  • Only dimensions with different size are updated.

  Date

  2018-08-13

  Author

  Ivan Gankevich

• shape() const -> const shape_type &
• Fourier_transform_base()
• Fourier_transform_base(const shape_type & shp)explicit

Types

• using fft_type = Fourier_transform< T, N >
• using array_type = blitz::Array< T, N >
• using shape_type = blitz::TinyVector< int, N >

Methods

• transform(array_type & x, int dir) -> void
• backward(array_type & x) -> void
• forward(array_type & x) -> void
• shape(const shape_type & rhs) -> void
• fourier_transform_shape() const -> const shape_type &
• shape() const -> const shape_type &
• Chirp_Z_transform(const shape_type & shp)explicit
• Chirp_Z_transform()

Types

• using array_type = blitz::Array< T, 1 >

Methods

• fourier_transform(array_type & x, int sign) -> void
• shape(int n) -> void

Types

• using array_type = blitz::Array< T, 1 >
• using indices_type = blitz::Array< int, 1 >

Fields

• indices_type _indices
• array_type _waves

Methods

• indices() const -> indices_type
• waves() const -> array_type
• free() -> void